Séminaire Lotharingien de Combinatoire, 93B.147 (2025), 12 pp.

Yanjun Chen

On the Classification of Schubert Varieties in Partial Flag Varieties

Abstract. We generalize the classification of isomorphism classes of Schubert varieties in complete flag varieties G/B (E. Richmond and W. Slofstra, 2021) to a class of partial flag varieties G/P. In particular, we classify all Schubert varieties in G/P where P is a minimal parabolic subgroup, and all Schubert surfaces which are two-dimensional Schubert varieties.


Received: November 15, 2024. Accepted: February 15, 2025. Final version: April 1, 2025.

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